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A proportional relationship is shown in the table below:

xxx 000 111 222 333 444
yyy 000 333 666 999 121212
What is the slope of the line that represents this relationship?
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Graph the line that represents this relationship.

User Drowa
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1 Answer

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The slope of the line representing this proportional relationship is 3.

In a proportional relationship, the ratio of the dependent variable (in this case, y) to the independent variable (in this case, x) remains constant.

The constant ratio is the slope of the line.

To find the slope, we can choose any pair of corresponding values from the table and calculate the ratio.

Let's take the pair (111, 666):

Slope= Change in y/ Change in x

= 666−333/111−0

= 333/111

​ =3

So, the slope of the line representing this proportional relationship is 3.

Now, let's graph the line.

The equation of the line in slope-intercept form (y = mx + b) is y = 3x, where 3 is the slope.

Since there is no intercept given in the table, we assume it to be 0.

A proportional relationship is shown in the table below: xxx 000 111 222 333 444 yyy-example-1
User Aichingm
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